Japanese Mahjong Wiki

Score table memorization: Difference between revisions

Page Discussion

Score table memorization (view source)

Revision as of 15:43, 13 April 2024

2,186 bytes removed ,  13 April
m
→‎20 fu and 40 fu
VisualWikitext
 
(18 intermediate revisions by 7 users not shown)
Line 1: Line 1:
[[Image:Scoring Table.png|right|350px]]
[[Image:Scoring Table.png|right|350px]]
Despite the size of the [[scoring table]], it is possible to memorize the table, in a manner similar to memorizing a multiplication table.  However, any attempt to learn the scoring table is fruitless without knowing particular prerequisites, like [[Naki|basic game procedures]] and the [[yaku]] with their han values. As a recommendation, scoring is among the last of the more basic concepts of the game for any newer player to learn.
'''Memorizing the [[scoring table|score table]]''' should only be done after learning the [[Naki|basic game procedures]] and [[yaku]]. While the score table is large, it can be memorized over time. At the very least, it is important to know the common point values, due to their importance in game strategy.


== Overview ==
==Counting Han / Fu==
Hand scores can be expressed in terms of [[han]] and [[fu]]. In order to use the score table, you need to know how much the hand is worth. If you have not memorized the scoring table, you can calculate han/fu, then look at the table.


The scoring table can be subdivided into sections. Once a section of the scoring table is learned, then a player can move on to the next section and memorize that one. It is an ongoing process, until the entire table is learned.  As it turns out, some sections share similar point values as other sections.
===Han===
{{Main|List of yaku}}
Han is determined by the number and value of [[yaku]] in your hand. As a reminder, yaku can [[Yaku compatibility|stack]]. Then, for each [[dora]], one han is added. The total han is the hand's han value.  


==Han and fu==
===Fu===
Aside from the point values, hand scores can be expressed in terms of '''han''' and '''fu'''.  Players, who do not know point values, may depend on the combination of these two numbers and then rely on an available scoring table.
{{Main|Fu}}
All hands start with a base of 20 fu. Then, a hand may increase fu by:
*Having [[triplet]]s and/or [[kan]] calls
*Having a [[kanchan]], [[penchan]], or [[tanki]] wait
*Having a pair of [[yakuhai]].
*Winning by [[tsumo]] or closed hand [[ron]].


===Counting Han===
(See the [[fu]] article for exact details).
{{main|List of yaku}}


Counting han is simple memorization of the yaku and their han values.  As a reminder, various yaku may [[Yaku compatability|stack and combine with other yaku]]. For each time a hand is scored, it becomes a matter of counting off the applied han.
After calculating fu, the fu count is rounded up to the next interval of 10 fu, unless it is chiitoitsu. For example, a hand with 32 fu is rounded to 40 fu. This rounding makes it easier to memorize the hand values.


===Counting fu===
== Common Fu Values ==
{{main|Fu}}
The most common values of fu, by far, are:


To count fu, a player must understand how fu is generated.  In essence, fu comes from the hand's composition and winning method.  Yaku has no bearing on the fu count, aside from required tile compositions of specific yaku.  The presence of [[koutsu|triplets]], [[kan]] calls, [[machi|closed waits]] (kanchan), and/or [[pair waits]] should be enough to prompt a player to look at a hand more carefully to count fu.
*30 fu - Most open hands; most closed hand tsumo; pinfu ron
*40 fu - Most closed hand ron; most open [[toitoi]]
*20 fu - Pinfu + tsumo
*25 fu - Chiitoitsu


The convenience of counting fu rests on rounding up.  Even a fu count of 32 fu gets rounded up to 40 fu.  So, when counting fu, it is helpful to note when the count crosses a multiple of 10.
Therefore, by learning point values for each of 20 fu, 25 fu, 30 fu, and 40 fu, you'll cover a large majority of cases.  


== Impossible scores ==
If a hand has declared [[kan]], has at least 2 closed simple triplets, or 1 closed terminal/honor triplet, it is likely that the hand deviates from these shortcut values.


There are no scoring values assigned for 1 han and 20 fu, 1 han and 25 fu, and 2 han and 25 fu (via [[mentsumo]]).
===Mangan===
Once a hand reaches 5 han, 4 han 40 fu, or 3 han 70 fu, it reaches [[mangan]], and fu no longer matters for scoring. From mangan onwards, only han determines score. Mangan-or-higher hands are easy to remember - they all have round, convenient numbers and specific names (haneman, baiman, etc.).


* '''1 han and 20 fu''' (tsumo)
'''Therefore, for any possible hand, it is not needed to learn fu values for 5+ han.'''
:The hand must be a closed pinfu hand.  However, it gets paired with mentsumo; so it defaults as 2 han and 20 fu.
* '''1 han and 20 fu''' (ron)
:A notable possibility for this value exists for a hand, that may be considered as an "open pinfu".  In other words, it is an open hand, that takes the shape of pinfu.  Naturally, it is not classed as pinfu.  For "ron" values, the default lowest value is set at 1 han and 30 fu.
* '''1 han and 25 fu'''
:[[Chiitoitsu]] is by default worth 2 han and 25 fu.  No other yaku worth 1-han can be set at 25 fu.
* '''2 han and 25 fu''' (tsumo)
:Chiitoitsu with [[mentsumo]] would be 3 han and 25 fu.


==Scoring patterns==
== Common Patterns ==
Thankfully, the points arrange themselves into particular patterns.  In general, an increase of 1-han effectively doubles the point values for hands.  The doubling may be exact for some patterns and approximate for others.  Usually, the difference is about 100 points or so.


===Point patterns for ron===
===Point patterns for ron===
Line 47: Line 50:
The sum of [[tsumo]] values are equal or almost equal to these particular numbers.
The sum of [[tsumo]] values are equal or almost equal to these particular numbers.


=== Tsumo values ===
===Tsumo vs ron ===
Points for tsumo total exactly or closely to that of the ron values. When a non-dealer wins by tsumo, then the dealer pays about half the total points. The other half is split among the other two non-dealers equally. For some ron values, the total is easily divisible by 4; where non-dealers each pay exactly half of what the dealer pays. However, some values do not.
The total points gained from a tsumo is identical, or nearly identical, to the points from ron. When a non-dealer wins by tsumo, the dealer pays ~50% of the points, and the other players pay ~25% of the points. When a dealer wins by tsumo, the other players split points equally.
 
Most differences between tsumo and ron come from rounding. For example:
#A 1 han 30 fu ron is worth 1000 points.
#If you split that number by 50% dealer/25% non-dealer, then the dealer would pay 500 points and both non-dealers would pay 250 points.
#Points in mahjong are always rounded to the hundreds place, so 250 is rounded up to 300.
#Thus, a 1 han 30 fu tsumo earns 500/300 (500 + 300 + 300), or 1100 points.
 
=== +1 han = doubled fu ===
When a hand gains +1 han, it is equivalent to doubling the hand's fu. (This does not apply for mangan+ hands.)
*1 han 40 fu = 2 han 20 fu
*1 han 80 fu = 2 han 40 fu = 3 han 20 fu
*2 han 30 fu = 1 han 60 fu
*3 han 50 fu = 4 han 25 fu
 
Therefore, you can multiply fu by 2, then subtract 1 han, and end up with the same score value. You can also add 1 han, then divide fu by 2, and end up with the same score. This means by memorizing the 30 fu values, you will also memorize the 60 fu values. By memorizing the 25 fu values, you will also memorize the 50 fu values.


For example, 4 han and 30 fu is 11600 and 7700 for dealer ron and non-dealer ron respectively.  The tsumo points are 3900 from each player for the dealer.  Here, the dealer earns 11700 points total from all players.  That's a difference of 100 points from the ron value. For non-dealers, 2000 points come from the non-dealers, while the dealer pays 3900.  In total, this amounts to 7900 points.  That's a 200 point difference from its corresponding ron value.  The 3900 points itself is roughly half of 7900.
By proxy, this means that when a hand gains +1 han (without changing fu), it roughly doubles in point value. Due to rounding, a hand may not ''exactly'' double in value, but it is often very close to double.


In essence, the total of the tsumo values are either the exact amount of the ron values; or they are within a difference of 100-200 points.
==Memorizing common values==
Due to the size of the scoring table, it is important to know the most common values first. Knowing the (1-4 han) + (20, 25, 30, 40) fu hands, as well as mangan+ hands, are the most important.


=== Mangan and more ===
=== Mangan and more ===
Hands at mangan or higher are always worth a set amount.


{| class="wikitable" align=right
{| class="wikitable"
|-
|-
!colspan=2| Mangan or greater
!colspan=2| Mangan or greater
Line 76: Line 96:
|colspan=6| † ''Dealer tsumo applies to all non-dealer players''
|colspan=6| † ''Dealer tsumo applies to all non-dealer players''
|}
|}
For '''mangan''' {{kana|満貫}} and beyond, a point cap is applied, such that counting fu may not be necessary.  Fu is still be counted; but for scoring purposes, it is not necessary to count fu, due to the cap on the basic points calculation.  Mangan begins with hands valued at 3 han and 70 fu, 4 han and 40 fu, or 5 han.  For each, if the fu count is greater, they are retained at mangan.
So, this section of the scoring table easy to remember.  For easier memorization, these higher values possess specific names, namely: haneman, baiman, sanbaiman, and yakuman.  Likewise, they are worth factors more than mangan.
* '''Haneman''' {{kana|跳満}} = 50% more than mangan
* '''Baiman''' {{kana|倍満}} = 100% more than mangan (double)
* '''Sanbaiman''' {{kana|三倍満}} = 200% more than mangan (triple)
* '''Yakuman''' {{kana|役満}} = 300% more than mangan (quadruple)
The lowest score for mangan is 8000 points for a non-dealer by ron.  The dealer value is 4000 points more, or 50% more, at 12000 points.  For the tsumo values, the 8000 points for mangan ron is cut in half.  That amount is paid by the dealer.  The remaining 4000 points is again split in half for the other players to pay 2000 points each.  For the dealer value, it is simply taking the 12,000 points normally scored by ron and dividing it into 3 for the other players to pay.
==Common values==
Despite the full range of the entire scoring table, the more frequent score combinations are best to focus on, after the simpler mangan+ scores.  The frequent occurrence of the common scores will end up becoming more routine with each scoring hand.


===30 and 40 fu===
===30 and 40 fu===
Among the hands valued at 1 han to 4 han, the most common scores involve 30 fu or 40 fu.  So, among the han-fu combinations, this is the most logical section to start.
30 and 40 fu are the most common point values. The smallest possible hand is 1 han 30 fu from ron, which is worth 1000 points.
 
Naturally, the first score to consider involves 1 han and 30 fu.  Of all the hand values possible, this is the smallest.  While the 20 fu values exist, 1 han and 20 fu does not, as no hand can be valued as such.  For non-dealer ron, the points for 1 han and 30 fu is 1000, or '''senten'''.  For non-dealer tsumo, it is 300/500 or 500/300, which may be referred as '''gomii'''.


{| class="wikitable" width=70%
{| class="wikitable" width=70%
Line 115: Line 119:


===25 fu===
===25 fu===
The 25 fu column involves the yaku, [[chiitoitsu]].  This yaku is unique enough, such that it has its own fu column dedicated to it. This is mainly because it does not follow the typical "4 tile [[Mentsu|groups]] and a [[Jantou|pair]]" pattern.  Unlike the general rule to counting fu, the fu for chiitoitsu is not rounded.  Instead, it remains at 25 fu. This is set by definition. 
Only hands with [[chiitoitsu]] can score 25 fu. Unlike all other hands, the fu for chiitoitsu is not rounded - it always remains at 25 fu.


{| class="wikitable" width=70%
{| class="wikitable" width=70%
Line 126: Line 130:
|}
|}


Once again, a chiitoitsu valued at 5 han or greater follows the "mangan" scoring pattern.
==Equivalent point values==
 
As mentioned above, adding one han is equivalent to doubling the hand's fu. This rule makes it easier to memorize, say, 20 fu, if you already know the 40 fu values.
==Point equivalences==
 
Various point values are equivalent among the different han and fu combinations.  By recognizing the equivalences, this eases the task of memorization, when one section or column of the scoring table is learned. 
 
In general, if a fu count is divisible by 2 and a fu column of that result exists, then the points are equivalent to a han-fu combination of 1+ han. For example, 3 han and 60 fu is equivalent to 4 han and 30 fu.  Both han and fu combinations score 7700 points for non-dealer ron, 11600 for dealer ron, 2000/3900 for non-dealer tsumo, and finally 3900 from all for dealer tsumo.  Various other similar scoring equivalences exist throughout the scoring table.  In a sense, as long as one learns the 25 fu, 30 fu, and 40 fu score columns, then the rest of the fu columns fall on simple equivalency.  The 20 fu column is essentially the 40 fu column anyways.


===20 fu and 40 fu===
===20 fu and 40 fu===
Only hands with [[pinfu]] + [[menzen tsumo]] can score 20 fu. Pinfu with ron is worth 30 fu (+10 from closed ron). All other hands cannot reach this amount.


Hands with 20 fu only applies to [[pinfu]] with [[mentsumo]].  This yaku is defined as a hand that does not earn fu.  Although, it still earns the 10 fu with closed ron. Otherwise, the hand does not produce fu by any other means.
If you know the 40 fu values, you can add 1 han and divide fu by 2 to get the associated 20 fu value. Because pinfu + tsumo is at least 2 han, there is no 1 han 20 fu amount needed to worry about.


{| class="wikitable" width=70%
{| class="wikitable" width=70%
Line 149: Line 149:
===25 fu and 50 fu===
===25 fu and 50 fu===


Now, 25 fu can be doubled to 50 fu. So, knowing the "chiitoitsu" point values, one would already know the 50 fu column.
Now, the 25 fu values can be doubled to 50 fu. So, by knowing the "chiitoitsu" point values, one would already know the 50 fu column.


{| class="wikitable" width=70%
{| class="wikitable" width=70%
Line 159: Line 159:
| {{Score cell|tsumo=Dealer tsumo|ron=Dealer ron}}||align=center|{{Score cell|tsumo=800|ron=2400}}||align=center|{{Score cell|tsumo=1600|ron=4800}}||align=center|{{Score cell|tsumo=3200|ron=9600}}
| {{Score cell|tsumo=Dealer tsumo|ron=Dealer ron}}||align=center|{{Score cell|tsumo=800|ron=2400}}||align=center|{{Score cell|tsumo=1600|ron=4800}}||align=center|{{Score cell|tsumo=3200|ron=9600}}
|}
|}
Continuing the equivalences place the point values at mangan.


===30 fu and 60 fu===
===30 fu and 60 fu===
Line 206: Line 204:
{| class="wikitable" width=70%
{| class="wikitable" width=70%
|-
|-
!width=25%| Position !! 2 han 50 fu = 1 han 100 fu !! 4 han3 han 50 fu = 2 han 100 fu  
!width=25%| Position !! 2 han 50 fu = 1 han 100 fu !! 3 han 50 fu = 2 han 100 fu  
|-
|-
| {{Score cell|tsumo=Non-dealer tsumo|ron=Non-dealer ron}}||align=center|{{Score cell|tsumo=800/1600|ron=3200}}||align=center| {{Score cell|tsumo=1600/3200|ron=6400}}
| {{Score cell|tsumo=Non-dealer tsumo|ron=Non-dealer ron}}||align=center|{{Score cell|tsumo=800/1600|ron=3200}}||align=center| {{Score cell|tsumo=1600/3200|ron=6400}}
Line 214: Line 212:


Once again, these two values are directly linked to the chiitoitsu values.  However, these han and fu combinations do not apply to chiitoitsu.  As a reminder, the equivalences are (2 han 50 fu = 3 and 25 fu) and (3 han 50 fu = 4 and 25 fu).
Once again, these two values are directly linked to the chiitoitsu values.  However, these han and fu combinations do not apply to chiitoitsu.  As a reminder, the equivalences are (2 han 50 fu = 3 and 25 fu) and (3 han 50 fu = 4 and 25 fu).
== Impossible scores ==
There are no scoring values assigned for 1 han and 20 fu, 1 han and 25 fu, and 2 han and 25 fu (via [[menzen tsumo]]).
* '''1 han and 20 fu''' (tsumo)
:To score 20 fu, a hand must be pinfu + menzen tsumo. Pinfu and menzen tsumo are worth 1 han each, so a 20 fu hand needs a minimum of 2 han.
* '''1 han and 25 fu'''
:[[Chiitoitsu]] is by default worth 2 han and 25 fu. No other yaku worth 1-han can be set at 25 fu.
* '''2 han and 25 fu''' (tsumo)
:Chiitoitsu with [[menzen tsumo]] would be 3 han and 25 fu.
* '''20 fu''' (ron)
:Closed hands score +10 fu. An open hand which would otherwise be at 20 fu gains +2 fu for "open pinfu". Thus, you cannot ron with 20 fu; the lowest possible ron is 1 han 30 fu.


==External links==
==External links==
{{jpwiki|麻雀の得点計算}}
{{jpwiki|麻雀の得点計算}}
* [http://osamuko.com/some-random-thoughts-on-scoring/ Scoring entry] at [http://osamuko.com/ Osamuko]
* [http://osamuko.com/some-random-thoughts-on-scoring/ Scoring entry] at [http://osamuko.com/ Osamuko]
* [https://pathofhouou.blogspot.com/2019/05/tips-for-learning-score-table.html Tips for learning score table]


[[Category:Strategy]]
[[Category:Strategy]]
[[Category:Scoring]]
Hordes
692

edits

Retrieved from "https://riichi.wiki/Special:MobileDiff/13849...24641"